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Finding the Fourth Proportional to 14,081.61, 19,433.61 and 7,794.39

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Solution

The fourth proportional to 14,081.61, 19,433.61 and 7,794.39 is: 10,756.81

Step by Step Solution

  1. Step 1: Write the proportion equation
    14,081.61 : 19,433.61 = 7,794.39 : x
  2. Step 2: Convert to fraction form
    14,081.61/19,433.61 = 7,794.39/x
  3. Step 3: Cross multiply
    14,081.61x = 19,433.61 × 7,794.39
  4. Step 4: Simplify right side
    14,081.61x = 151,473,135.45
  5. Step 5: Solve for x
    x = 151,473,135.45/14,081.61
  6. Step 6: Final answer
    x = 10,756.81

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Why These Related Problems?

These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.